The combinatorics of the Baer-Specker group

Michał MacHura, Boaz Tsaban

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We study subgroups of DN which possess group theoretic properties analogous to properties introduced by Menger (1924), Hurewicz (1925), Rothberger (1938), and Scheepers (1996). The studied properties were introduced independently by Kočinac and Okunev. We obtain purely combinatorial characterizations of these properties, and combine them with other techniques to solve several questions of Babinkostova, Kočinac, and Scheepers.

Original languageEnglish
Pages (from-to)125-151
Number of pages27
JournalIsrael Journal of Mathematics
Volume168
Issue number1
StatePublished - Nov 2008

Bibliographical note

Funding Information:
∗ The first author was supported by the EU Research and Training Network HPRN-CT-2002-00287.

Funding

∗ The first author was supported by the EU Research and Training Network HPRN-CT-2002-00287.

FundersFunder number
EU Research and Training NetworkHPRN-CT-2002-00287

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